You cannot copy content of this page

RD Sharma Solution CLass 12 Mathematics Chapter 29 The Plane

Chapter 29 – The plane Exercise Ex. 29.1

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29.10

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29.11

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 25

Find the equation of the plane passing through the
points

(-1, 2, 0),(2, 2, -1) and parallel to the line

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane 

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29.12

Question 1

Find the coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the yz-plane.

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Find the coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the zx-plane.

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

 

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 6

Find the distance of the point P (-1, -5, -10) from the point of intersection of the line joining the points A (2, -1, 2) and B (5, 3, 4) with the plane x – y + z = 5.

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 7

Find the distance of the point P(3,
4,4) from the point, where the line joining the points A(3, -4, -5) and B (2,
-3, 1) intersects the plane 2x + y + z =7.

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29.13

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 13

Find the equation of a plane which passes through the
point (3, 2, 0) and contains the line

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29.14

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Find the shortest distance between the lines

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane 

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29.15

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Hence or otherwise deduce the length of the perpendicular.

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

 

Solution 5

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 7

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 14

Find the length and the foot of perpendicular from the
point (1, 3/2, 2) to the plane 2x – 2y + 4z + 5 = 0.

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29.2

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29.3

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 22

Find the vector and Cartesian equations of the plane which passes through the point (5, 2, -4) and perpendicular to the line with direction ratios 2, 3, -1.

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 23

If O be the origin and the coordinates of P be (1, 2, -3), then find the equation of the plane passing through P and perpendicular to OP.

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 24

If O is the origin and the coordinates of A are (a, b,
c). Find the direction cosines of OA and the equation of the plane through A
at right angles to OA.

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29.4

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 11

Find the distance of the plane 2x – 3y + 4z – 6 = 0 from the origin.

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29.5

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Find the vector equation of the plane passing through the points P(2, 5, -3), Q(-2, -3, 5) and R(5, 3, -3).

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 4

Find the vector equation of the plane passing through the points (1, 1, -1), (6, 4, -5) and (-4, -2, 3).

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29.6

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 8

Find the angle between the planes:

2x + y – 2z = 5 and 3x – 6y – 2z = 7

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 15

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 20

Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane.

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 21

Find the equation of the plane that contains the point (1, -1, 2) and is perpendicular to each of the planes 2x + 3y – 2z = 5 and x + 2y – 3z = 8.

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 23

Find the equation of the plane passing through the point (-1, 3, 2) and perpendicular to each of the planes x + 2y + 3z = 5 and 3x + 3y + z = 0.

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 24

Find the vector equation of the plane through the points (2, 1, -1) and (-1, 3, 4) and perpendicular to the plane x – 2y + 4z = 10.

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29.7

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29.8

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 15

Find the equation of the plane through the intersection
of the planes 3x – y 2z = 4 and x + y + z = 2 and the point (2, 2, 1).

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 16

Find the vector equation of the plane through the line
of intersection of the plane x + y + z = 1 and 2x + 3y + 4z = 5 which is
perpendicular to the plane x – y + z = 0.

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 17

Find the equation of the plane passing through (a, b,
c) and parallel to the plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29.9

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane
Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 11

Find the distance between the point (7, 2, 4) and the plane determined by the points A (2, 5, -3), B (-2, -3, 5) and C (5, 3, -3)

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 12

A plane makes intercepts -6, 3, 4 respectively on the coordinate axes. Find the length of the perpendicular from the origin on it.

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise Ex. 29VSAQ

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 19

Find the length of the perpendicular drawn from the origin to the plane 2x – 3y + 6z + 21 = 0.

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Chapter 29 – The plane Exercise MCQ

Question 1

The plane 2x – (1 + λ)y + 3λz = 0 passes through the intersection of the planes

  1. 2x – y = 0 and y – 3z = 0
  2. 2x + 3z = 0 and y = 0
  3. 2x – y + 3z = 0 and y – 3z = 0
  4. none of these
Solution 1

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 2

The acute angle between the planes 2x – y + z = 6 and x + y + 2z = 3 is

  1. 45°
  2. 60°
  3. 30°
  4. 75°
Solution 2

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 3

The equation of the plane through the intersection of the planes x + 2y + 3z = 4 and 2x + y – z = -5 and perpendicular to the plane 5x + 3y + 6z + 8 = 0 is

  1. 7x – 2y + 3z + 81 = 0
  2. 23x + 14y – 9z + 48 = 0
  3. 51x – 15y – 50z + 173 = 0
  4. none of these
Solution 3

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 4

The distance between the planes 2x + 2y – z + 2 = 0 and 4x + 4y – 2z + 5 = 0 is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 4

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 5

The image of the point (1, 3, 4) in the plane 2x – y + z + 3 = 0 is

  1. (3, 5, 2)
  2. (-3, 5, 2)
  3. (3, 5, -2)
  4. (3, -5, 2)
Solution 5

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

  1. 8x + y – 5z – 7 = 0
  2. 8x + y + 5z – 7 = 0
  3. 8x – y – 5z – 7 = 0
  4. none of these
Solution 6

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

NOTE: Answer not matching with back answer.

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 7

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 8

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

  1. x – 5y + 3z = 7
  2. x – 5y + 3z = -7
  3. x + 5y + 3z = 7
  4. x + 5y + 3z = -7
Solution 9

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 10

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

  1. 1
  2. 2
  3. 3
  4. none of these
Solution 11

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

  1. 1
  2. 2
  3. 3
  4. none of these
Solution 12

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 13

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Solution 14

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 15

The equation of the plane parallel to the lines x – 1 = 2y – 5 = 2z and 3x = 4y – 11 = 3z – 4 and passing through the point (2, 3, 3) is

  1. x – 4y + 2z + 4 = 0
  2. x + 4y + 2z + 4 = 0
  3. x – 4y + 2z – 4 = 0
  4. none of these
Solution 15

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

  1. 9
  2. 13
  3. 17
  4. none of these
Solution 16

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 17

The equation of the plane through the intersection of the planes ax + by + cz + d = 0 and lx + my + nz + p = 0 and parallel to the line y = 0, z = 0

  1. (bl – am)y + (cl – an)z + dl – ap = 0
  2. (am – bl)x + (mc – bn)z + md – bp = 0
  3. (na – cl)x + (bn – cm)y + nd – cp = 0
  4. none of these
Solution 17

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

Question 18

The equation of the plane which cuts equal intercepts of unit length on the coordinate axes is

  1. x + y + z = 1
  2. x + y + z = 0
  3. x + y – z = 1
  4. x + y + z = 2
Solution 18

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - The Plane

 

Leave a Comment

Your email address will not be published. Required fields are marked *

error: Content is protected !!
Free Web Hosting